In the circuit shown below, the switch has been in position A for a very long ti
ID: 1486729 • Letter: I
Question
In the circuit shown below, the switch has been in position A for a very long time. At t = 0, it is moved to position B.
V = 6 Volts
C1 = 1.0 x 10-4 F
R1 = 16
R2 = 24
L1 = 0.025 H
L2 = 0.05 H
L3 = 0.05 H
1)What is IL1 the magnitude of the current that flows through L1 just before the switch is moved to position B?
2.)What is 0, the resonance frequency of the circuit consisting of C1, L2, and L3 after the switch is moved to position B?
3.)What is VL2max, the maximum voltage across inductor L2 after the switch is moved to B?
Explanation / Answer
V = 6 Volts
C1 = 1.0 x 10-4 F
R1 = 16
R2 = 24
L1 = 0.025 H
L2 = 0.05 H
L3 = 0.05 H
1)What is IL1 the magnitude of the current that flows through L1 just before the switch is moved to position B?
.L will be short circuited.
Hence, I = 6/(16+24) = 0.15A
2.)What is 0, the resonance frequency of the circuit consisting of C1, L2, and L3 after the switch is moved to position B?
w = 1/SQRT(LC)
= 1/[(0.05+0.05)*10^-4]
=316.23 RAD/SEC
3.)What is VL2max, the maximum voltage across inductor L2 after the switch is moved to B?
voltage across C = 24*0.15 = 3.6.
WHEN SWITCH IN B POSITION, VL = 3.6[1-COSlwt)],
maximumlue of VL = 7.2,
HALF OF THIS WILL APPEAR ACROS L2, THAT IS,= 3.6V.S vaa